Design of a Composite Membrane with Patches

Design of a Composite Membrane with Patches
Cuccu, Fabrizio; Emamizadeh, Behrouz; Porru, Giovanni
2010-10-01 00:00:00
This paper is concerned with minimization and maximization problems of eigenvalues. The principal eigenvalue of a differential operator is minimized or maximized over a set which is formed by intersecting a rearrangement class with an affine subspace of finite co-dimension. A solution represents an optimal design of a 2-dimensional composite membrane Ω, fixed at the boundary, built out of two different materials, where certain prescribed regions (patches) in Ω are occupied by both materials. We prove existence results, and present some features of optimal solutions. The special case of one patch is treated in detail.
http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.pngApplied Mathematics and OptimizationSpringer Journalshttp://www.deepdyve.com/lp/springer-journals/design-of-a-composite-membrane-with-patches-wRMtl4KkN5